Simplifying fractional exponents and roots: ACT Math Practice Question

Try this ACT math practice question that tests your ability to simplify expressions that contain roots and fractional exponents.

For $x \gt 0$, which of the following expressions is equivalent to $(\sqrt[4]{x^3})(\sqrt{x})^3$?

1. $\quad x$
2. $\quad x^2$
3. $\quad x(\sqrt[4]{x})$
4. $\quad x^2(\sqrt[4]{x})$
5. $\quad x^3(\sqrt[4]{x})$

Choice D

Video explanation